A motor cycle with rider, weight of 250 Kg., the centre of Gravity of the machine and rider combined being 60 cm above from ground level when the machine is standing upright. Each road wheel has a rolling diameter of 60 cm and a moment of Inertia of θ Kg-m². The engine rotates at six times faster then the speed of the road wheels and in the same sense. The moment of Inertia of rotating parts of the engine is 1.5 Kg-m². Evaluate the angle of heel if the unit is travelling at a speed of 15 m/sec in a curve of 30 m.